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Exact(21)
Consequently, is a dead core solution of problem (1.6a - 1.6b).
(i) Let be a dead core solution of problem (1.6a - 1.6b) for some and let.
It remains to verify that is the unique dead core solution of problem (1.6a - 1.6b) with.
Let us suppose that is another dead core solution of the above problem.
(i) For each, there exists only a unique dead core solution of problem (1.9a - 1.9b).
For each, there exists only a unique dead core solution of problem (1.9a - 1.9b).
Similar(39)
We now deal with the dead core solutions of the problem.
Next, we present results for pseudo dead core solutions of problem (1.6a - 1.6b).
The paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem,,.
The following two lemmas characterize the dependence of positive and dead core solutions of problem (1.6a - 1.6b) on the parameter.
We are also able to give some more information on the dead core solutions of problem (1.9a - 1.9b).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com